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Infectious Disease Modeling pp 21–39Cite as

Hybrid and Switched Systems

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Part of the book series: Nonlinear Systems and Complexity ((NSCH,volume 19))

Abstract

This chapter reviews the theory of switched systems.Governed by a combination of mode-dependent continuous/discrete dynamics and logic-based switching, and having a wide range of motivating applications, the qualitative behavior of switched systems is highlighted here. Stability theory is emphasized; topics of discussion include stability under arbitrary and constrained switching, as well as switching control.

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Notes

  1. 1.

    Recall this means that W(x) →∞ as ∥x∥→ ∂D.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Waterloo, Waterloo, ON, Canada

    Xinzhi Liu & Peter Stechlinski

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  1. Xinzhi Liu
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  2. Peter Stechlinski
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Liu, X., Stechlinski, P. (2017). Hybrid and Switched Systems. In: Infectious Disease Modeling. Nonlinear Systems and Complexity, vol 19. Springer, Cham. https://doi.org/10.1007/978-3-319-53208-0_2

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  • DOI: https://doi.org/10.1007/978-3-319-53208-0_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-53206-6

  • Online ISBN: 978-3-319-53208-0

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